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(a) Determine the depth h to be filled to, so that the tank can hold V m'. Stop your calculation when the error <0.1 using Bisection method. Use initial guess of 0 and R. Note: V 10 m, R=2 m (b) By using the same stopping condition as in part(a), analyze whether Newton Raphson method is more suited that Bisection method for this problem. Initial guess h, =R.

(a) Determine the depth h to be filled to, so that the tank can hold V m'. Stop your calculation when the error <0.1 using Bisection method. Use initial guess of 0 and R. Note: V 10 m, R=2 m (b) By using the same stopping condition as in part(a), analyze whether Newton Raphson method is more suited that Bisection method for this problem. Initial guess h, =R.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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You are designing a spherical tank (Fig. P5.17) to hold water for a small village in a developing country. The volume of liquid it can hold can be computed as [3R – h] V = nh² where V = volume [m³], h = depth of water in tank [m], %3D and R = the tank radius [m]. R |h
Transcribed Image Text:You are designing a spherical tank (Fig. P5.17) to hold water for a small village in a developing country. The volume of liquid it can hold can be computed as [3R – h] V = nh² where V = volume [m³], h = depth of water in tank [m], %3D and R = the tank radius [m]. R |h
Determine the depth h to be filled to, so that the tank can hold V m'. Stop your calculation when the error <0.1 using Bisection method. Use initial guess of 0 and R. (a) Note: V 10 m, R =2 m By using the same stopping condition as in part(a), analyze whether Newton Raphson method is more suited that Bisection method for this problem. Initial guess h, = R. (b)
Transcribed Image Text:Determine the depth h to be filled to, so that the tank can hold V m'. Stop your calculation when the error <0.1 using Bisection method. Use initial guess of 0 and R. (a) Note: V 10 m, R =2 m By using the same stopping condition as in part(a), analyze whether Newton Raphson method is more suited that Bisection method for this problem. Initial guess h, = R. (b)
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